Search a number
-
+
3305552250 = 23537211131737
BaseRepresentation
bin1100010100000110…
…1011100101111010
322112100222110020010
43011001223211322
523232210133000
61304001242350
7144625505400
oct30501534572
98470873203
103305552250
111446997370
127830333b6
13408aa75a0
14235023470
151452ecd50
hexc506b97a

3305552250 has 768 divisors, whose sum is σ = 12261570048. Its totient is φ = 580608000.

The previous prime is 3305552219. The next prime is 3305552251. The reversal of 3305552250 is 522555033.

3305552250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305552251) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 89339232 + ... + 89339268.

It is an arithmetic number, because the mean of its divisors is an integer number (15965586).

Almost surely, 23305552250 is an apocalyptic number.

3305552250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305552250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130785024).

3305552250 is an abundant number, since it is smaller than the sum of its proper divisors (8956017798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3305552250 is a wasteful number, since it uses less digits than its factorization.

3305552250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 3305552250 is about 57493.9322885468. The cubic root of 3305552250 is about 1489.6400568920.

It can be divided in two parts, 3305 and 552250, that added together give a palindrome (555555).

The spelling of 3305552250 in words is "three billion, three hundred five million, five hundred fifty-two thousand, two hundred fifty".